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Finding the Fourth Proportional to 82,791,162,666.80, 124,186,744,000.20 and 82,791,162,666.80

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Solution

The fourth proportional to 82,791,162,666.80, 124,186,744,000.20 and 82,791,162,666.80 is: 124,186,744,000.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,791,162,666.80 : 124,186,744,000.20 = 82,791,162,666.80 : x
  2. Step 2: Convert to fraction form
    82,791,162,666.80/124,186,744,000.20 = 82,791,162,666.80/x
  3. Step 3: Cross multiply
    82,791,162,666.80x = 124,186,744,000.20 × 82,791,162,666.80
  4. Step 4: Simplify right side
    82,791,162,666.80x = 10,281,564,923,580,806,856,704
  5. Step 5: Solve for x
    x = 10,281,564,923,580,806,856,704/82,791,162,666.80
  6. Step 6: Final answer
    x = 124,186,744,000.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.